For each scenario described below, state whether or not the binomial distribution is a reasonable model for the random variable and why. State any assumptions you make. a. A production process produces thousands of temperature transducers. Let X denote the number of nonconforming transducers in a sample of size 30 selected at random from the process. b. From a batch of 50 temperature transducers, a sample of size 30 is selected without replacement. Let X denote the number of nonconforming transducers in the sample. c. Let X denote the number of accidents that occur along the federal highways in Arizona during a one-month period.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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For each scenario described below, state whether or not the binomial distribution is a reasonable model for the random variable and why. State any assumptions you make. a. A production process produces thousands of temperature transducers. Let X denote the number of nonconforming transducers in a sample of size 30 selected at random from the process. b. From a batch of 50 temperature transducers, a sample of size 30 is selected without replacement. Let X denote the number of nonconforming transducers in the sample. c. Let X denote the number of accidents that occur along the federal highways in Arizona during a one-month period.
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